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Finding the Third Proportional to 18,599 and 38,702

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Solution

The third proportional to 18,599 and 38,702 is: 80,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,599 : 38,702 = 38,702 : x
  2. Step 2: Convert to fraction form
    18,599/38,702 = 38,702/x
  3. Step 3: Cross multiply
    18,599x = 38,702 × 38,702
  4. Step 4: Simplify right side
    18,599x = 1,497,844,804
  5. Step 5: Solve for x
    x = 1,497,844,804/18,599
  6. Step 6: Final answer
    x = 80,533.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.